Frequency Criterion for the Existence of Sliding Processes in Control Systems with an Arbitrary Variable Structure

The article proposes a criterion for the existence of sliding processes according to the frequency characteristics of the control device and the control object. This approach is proposed for the first time, in contrast to the method of phase trajectories and state space equations used to analyze systems with a variable structure. This approach allows us to formulate several practical engineering provisions that are very important for the implementation of this control method in real electric drives. The main conclusions are confirmed by modeling.